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Simplifying 1 + -3(2w + 1) = 8w + -3(8 + w) Reorder the terms: 1 + -3(1 + 2w) = 8w + -3(8 + w) 1 + (1 * -3 + 2w * -3) = 8w + -3(8 + w) 1 + (-3 + -6w) = 8w + -3(8 + w) Combine like terms: 1 + -3 = -2 -2 + -6w = 8w + -3(8 + w) -2 + -6w = 8w + (8 * -3 + w * -3) -2 + -6w = 8w + (-24 + -3w) Reorder the terms: -2 + -6w = -24 + 8w + -3w Combine like terms: 8w + -3w = 5w -2 + -6w = -24 + 5w Solving -2 + -6w = -24 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -2 + -6w + -5w = -24 + 5w + -5w Combine like terms: -6w + -5w = -11w -2 + -11w = -24 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + -11w = -24 + 0 -2 + -11w = -24 Add '2' to each side of the equation. -2 + 2 + -11w = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -11w = -24 + 2 -11w = -24 + 2 Combine like terms: -24 + 2 = -22 -11w = -22 Divide each side by '-11'. w = 2 Simplifying w = 2
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